# zbMATH — the first resource for mathematics

## Davidson, Fordyce A.

Compute Distance To:
 Author ID: davidson.fordyce-a Published as: Davidson, F.; Davidson, F. A.; Davidson, Fordyce A. External Links: ORCID · dblp
 Documents Indexed: 65 Publications since 1976
all top 5

#### Co-Authors

 3 single-authored 27 Chaplain, Mark A. J. 26 Xu, Rui 8 Rynne, Bryan P. 6 Dodds, Niall 5 Ritz, Karl 4 Boswell, Graeme P. 4 Liu, Junli 3 Alzahrani, Ebraheem O. 3 Crawford, John W. 3 Gadd, Geoffrey M. 3 Jacobs, Helen 3 Sleeman, Brian D. 2 Gourley, Stephen A. 2 Rayner, A. D. M. 2 Stoleriu, Iulian 1 Alfaro, Miguel 1 Anderson, Alexander R. A. 1 Apreutesei, Narcisa C. 1 Brown, Kenneth J. 1 Jaffar, M. Z. A. M. 1 Kobine, J. J. 1 Li, Longxing 1 Park, Andrew William 1 Savory, Andrew I. M. 1 Smith, Malcolm J. 1 Volpert, Vitaly A. 1 Wallace, H. A.
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#### Serials

 12 Applied Mathematics and Computation 9 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Biology 4 Mathematical and Computer Modelling 3 Mathematical Modelling of Natural Phenomena 2 Applicable Analysis 2 IMA Journal of Applied Mathematics 2 Bulletin of Mathematical Biology 2 Applied Mathematics Letters 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear Analysis. Real World Applications 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Methods and Applications of Analysis 1 Communications in Applied Analysis 1 Differential Equations and Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Functional Analysis and Applications 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 47 Biology and other natural sciences (92-XX) 35 Ordinary differential equations (34-XX) 19 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

53 Publications have been cited 509 times in 423 Documents Cited by Year
Global bifurcation in the Brusselator system. Zbl 0829.35010
Brown, K. J.; Davidson, F. A.
1995
Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
2001
A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026
Davidson, F. A.; Rynne, B. P.
2000
Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119
Xu, R.; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Eigenfunction expansions in $$L^{2}$$ spaces for boundary value problems on time-scales. Zbl 1125.34069
Davidson, Fordyce A.; Rynne, Bryan P.
2007
Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global bifurcation on time scales. Zbl 0998.34024
Davidson, Fordyce A.; Rynne, Bryan P.
2002
The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047
Davidson, F. A.; Gourley, S. A.
2001
A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Zbl 1027.65125
Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl
2003
Global stability of the attracting set of an enzyme-catalysed reaction system. Zbl 1022.92011
Davidson, F. A.; Liu, Junli
2002
Travelling waves in near-degenerate bistable competition models. Zbl 1202.35019
Alzahrani, E. O.; Davidson, F. A.; Dodds, N.
2010
Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions. Zbl 1050.92025
Stoleriu, I.; Davidson, F. A.; Liu, J. L.
2004
Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085
Davidson, F. A.; Xu, R.; Liu, J.
2002
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2007
A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Growth and function of fungal mycelia in heterogeneous environments. Zbl 1334.92253
Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl
2003
Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065
Xu, R.; Davidson, F. A.; Chaplain, M. A. J.
2002
Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems. Zbl 1149.35366
Davidson, Fordyce A.; Dodds, Niall
2007
Reversing invasion in bistable systems. Zbl 1257.35025
Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall
2012
The development of fungal networks in complex environments. Zbl 1139.92316
Boswell, Graeme P.; Jacobs, Helen; Ritz, Karl; Gadd, Geoffrey M.; Davidson, Fordyce A.
2007
Spectral properties of non-local uniformly-elliptic operators. Zbl 1115.35090
Davidson, Fordyce A.; Dodds, Niall
2006
Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions. Zbl 1083.92017
Stoleriu, I.; Davidson, F. A.; Liu, J. L.
2005
Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022
Davidson, Fordyce A.; Rynne, Bryan P.
2004
Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023
Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J.
2000
Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations. Zbl 0935.35068
Davidson, F. A.
1998
Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004
Davidson, Fordyce A.; Rynne, Bryan P.
2007
Spectral properties of non-local differential operators. Zbl 1108.34062
Davidson, Fordyce A.; Dodds, Niall
2006
Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
1997
Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global asymptotic stability in a nonautonomous $$n$$-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2001
Large-scale behavior of fungal mycelia. Zbl 0876.92008
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
1996
Preface to the issue nonlocal reaction-diffusion equations. Zbl 1337.92165
Alfaro, M. (ed.); Apreutesei, N. (ed.); Davidson, F. (ed.); Volpert, V. (ed.)
2015
A 3-species competition model for bio-control. Zbl 1245.93098
Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall
2012
The formulation of second-order boundary value problems on time scales. Zbl 1139.39026
Davidson, Fordyce A.; Rynne, Bryan P.
2006
Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023
Davidson, F. A.; Rynne, B. P.
2000
A mathematical model for fungal development in heterogeneous environments. Zbl 0945.92024
Davidson, F. A.; Park, A. W.
1998
The effect of cell death on the stability of a growing biofilm. Zbl 1384.92044
Wallace, H. A.; Li, L.; Davidson, F. A.
2016
Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global secondary bifurcation in a nonlinear boundary value problem. Zbl 0949.34014
Davidson, F. A.
1999
Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038
Davidson, F. A.; Sleeman, B. D.; Crawford, J. W.
1997
The effect of cell death on the stability of a growing biofilm. Zbl 1384.92044
Wallace, H. A.; Li, L.; Davidson, F. A.
2016
Preface to the issue nonlocal reaction-diffusion equations. Zbl 1337.92165
Alfaro, M. (ed.); Apreutesei, N. (ed.); Davidson, F. (ed.); Volpert, V. (ed.)
2015
Reversing invasion in bistable systems. Zbl 1257.35025
Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall
2012
A 3-species competition model for bio-control. Zbl 1245.93098
Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall
2012
Travelling waves in near-degenerate bistable competition models. Zbl 1202.35019
Alzahrani, E. O.; Davidson, F. A.; Dodds, N.
2010
Eigenfunction expansions in $$L^{2}$$ spaces for boundary value problems on time-scales. Zbl 1125.34069
Davidson, Fordyce A.; Rynne, Bryan P.
2007
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2007
Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems. Zbl 1149.35366
Davidson, Fordyce A.; Dodds, Niall
2007
The development of fungal networks in complex environments. Zbl 1139.92316
Boswell, Graeme P.; Jacobs, Helen; Ritz, Karl; Gadd, Geoffrey M.; Davidson, Fordyce A.
2007
Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004
Davidson, Fordyce A.; Rynne, Bryan P.
2007
Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Spectral properties of non-local uniformly-elliptic operators. Zbl 1115.35090
Davidson, Fordyce A.; Dodds, Niall
2006
Spectral properties of non-local differential operators. Zbl 1108.34062
Davidson, Fordyce A.; Dodds, Niall
2006
The formulation of second-order boundary value problems on time scales. Zbl 1139.39026
Davidson, Fordyce A.; Rynne, Bryan P.
2006
Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2006
Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions. Zbl 1083.92017
Stoleriu, I.; Davidson, F. A.; Liu, J. L.
2005
Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2005
Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119
Xu, R.; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions. Zbl 1050.92025
Stoleriu, I.; Davidson, F. A.; Liu, J. L.
2004
Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022
Davidson, Fordyce A.; Rynne, Bryan P.
2004
Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2004
A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Zbl 1027.65125
Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl
2003
Growth and function of fungal mycelia in heterogeneous environments. Zbl 1334.92253
Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl
2003
Global bifurcation on time scales. Zbl 0998.34024
Davidson, Fordyce A.; Rynne, Bryan P.
2002
Global stability of the attracting set of an enzyme-catalysed reaction system. Zbl 1022.92011
Davidson, F. A.; Liu, Junli
2002
Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085
Davidson, F. A.; Xu, R.; Liu, J.
2002
Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065
Xu, R.; Davidson, F. A.; Chaplain, M. A. J.
2002
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
2001
The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047
Davidson, F. A.; Gourley, S. A.
2001
Global asymptotic stability in a nonautonomous $$n$$-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2001
A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026
Davidson, F. A.; Rynne, B. P.
2000
Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023
Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J.
2000
Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023
Davidson, F. A.; Rynne, B. P.
2000
Global secondary bifurcation in a nonlinear boundary value problem. Zbl 0949.34014
Davidson, F. A.
1999
Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations. Zbl 0935.35068
Davidson, F. A.
1998
A mathematical model for fungal development in heterogeneous environments. Zbl 0945.92024
Davidson, F. A.; Park, A. W.
1998
Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
1997
Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038
Davidson, F. A.; Sleeman, B. D.; Crawford, J. W.
1997
Large-scale behavior of fungal mycelia. Zbl 0876.92008
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
1996
Global bifurcation in the Brusselator system. Zbl 0829.35010
Brown, K. J.; Davidson, F. A.
1995
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#### Cited by 626 Authors

 18 Davidson, Fordyce A. 14 Chen, Fengde 12 Wang, Mingxin 10 Chen, Lansun 10 Xu, Changjin 9 Xu, Rui 8 Shi, Junping 7 Li, Wan-Tong 7 Peng, Rui 7 Volpert, Vitaly A. 7 Wei, Junjie 7 Zhang, Qingling 7 Zhou, Jun 6 Li, Yongkun 6 Li, Zhong 6 Teng, Zhi-dong 6 Wu, Jianhua 5 Chaplain, Mark A. J. 5 Dai, Binxiang 5 Feng, Zhaosheng 5 Liu, Chao 5 Shao, Yuanfu 5 Song, Yongli 5 Wang, Zhi Cheng 5 Xie, Xiangdong 4 Boswell, Graeme P. 4 Ding, Xiaoquan 4 Huang, Lihong 4 Liao, Maoxin 4 Liu, Junli 4 Macías-Díaz, Jorge Eduardo 4 Ruan, Shigui 4 Rynne, Bryan P. 4 Su, Youhui 4 Zhao, Hongyong 4 Zhou, Jianwen 3 Banerjee, Sandip 3 Cai, Liming 3 Chen, Wenyan 3 Dodds, Niall 3 Gan, Qintao 3 Han, Bang-Sheng 3 Huo, Hai-Feng 3 Jia, Yunfeng 3 Liu, Shengqiang 3 Liu, Zhijun 3 Luo, Hua 3 Malchow, Horst 3 Mu, Chunlai 3 Pelen, Neslihan Nesliye 3 Sherratt, Jonathan A. 3 Song, Xinyu 3 Su, Juan 3 Wan, Aying 3 Wang, Jinfeng 3 Wang, Ke 3 Wei, Fengying 3 Zeng, Xianzhong 3 Zhang, Xue 3 Zhao, Min 3 Zou, Xingfu 2 Agarwal, Ravi P. 2 Alam, Shariful 2 Alzahrani, Ebraheem O. 2 Amster, Pablo 2 Banerjee, Malay 2 Bayliss, Alvin 2 Bie, Qunyi 2 Chakraborty, Kunal 2 Chakraborty, Milon 2 Chen, Shanshan 2 Chen, Wencheng 2 Crawford, John W. 2 de Nápoli, Pablo Luis 2 Ding, Wei 2 Ding, Xiaohua 2 Du, Bo 2 Du, Huan 2 Duan, Xiaodong 2 Dzwinel, Witold 2 Eckhardt, Jonathan 2 Faria, Teresa 2 Fu, Shengmao 2 Gao, Yang 2 Guo, Gaihui 2 Guo, Hongjian 2 Güvenilir, Ayşe Feza 2 Han, Maoan 2 He, Xiaofei 2 Huang, Canyun 2 Huang, Chuangxia 2 Huseynov, Adil 2 Kar, Tapan Kumar 2 Kaymakçalan, Billur 2 Kouche, Mahiéddine 2 Kumari, Nitu 2 Li, Bo 2 Li, Peiluan 2 Li, Xuezhi 2 Li, Yi ...and 526 more Authors
all top 5

#### Cited in 106 Serials

 43 Applied Mathematics and Computation 30 Nonlinear Analysis. Real World Applications 21 Advances in Difference Equations 17 Journal of Mathematical Analysis and Applications 16 Discrete Dynamics in Nature and Society 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Abstract and Applied Analysis 11 Chaos, Solitons and Fractals 11 Journal of Differential Equations 11 Nonlinear Dynamics 11 Journal of Theoretical Biology 10 Applied Mathematical Modelling 10 International Journal of Biomathematics 9 Mathematical and Computer Modelling 8 Computers & Mathematics with Applications 8 Journal of Computational and Applied Mathematics 7 Journal of Mathematical Biology 7 Applied Mathematics Letters 6 Journal of Mathematical Chemistry 5 Mathematics and Computers in Simulation 5 Communications in Nonlinear Science and Numerical Simulation 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Mathematical Methods in the Applied Sciences 4 Bulletin of Mathematical Biology 4 Journal of Difference Equations and Applications 3 Applicable Analysis 3 Mathematical Biosciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Mathematical Biosciences and Engineering 3 Journal of Biological Dynamics 2 International Journal of Control 2 Journal of the Franklin Institute 2 Theoretical Population Biology 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Physica D 2 Applications of Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Nonlinear Analysis. Modelling and Control 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Boundary Value Problems 2 Mathematical Modelling of Natural Phenomena 2 Afrika Matematika 2 Journal of Mathematics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Nonlinearity 1 Physica A 1 Reports on Mathematical Physics 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inverse and Ill-Posed Problems 1 ACM Transactions on Modeling and Computer Simulation 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Advances in Complex Systems 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 Nonlinear Oscillations 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Symmetry ...and 6 more Serials
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#### Cited in 24 Fields

 313 Biology and other natural sciences (92-XX) 214 Ordinary differential equations (34-XX) 162 Partial differential equations (35-XX) 59 Dynamical systems and ergodic theory (37-XX) 28 Operator theory (47-XX) 23 Numerical analysis (65-XX) 18 Systems theory; control (93-XX) 17 Difference and functional equations (39-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)